{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5d904dee",
   "metadata": {},
   "source": [
    "# Example 8: KANs' Scaling Laws"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6465ec94",
   "metadata": {},
   "source": [
    "### In this example, we show KAN's scaling laws (wrt model params and data size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a1c25e8a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=100\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.22e-03 | test loss: 7.32e-03 | reg: 2.91e+00 : 100%|██| 50/50 [00:07<00:00,  7.10it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.20e-04 | test loss: 8.06e-04 | reg: 2.90e+00 : 100%|██| 50/50 [00:06<00:00,  7.48it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 7.01e-06 | test loss: 3.07e-04 | reg: 2.90e+00 : 100%|██| 50/50 [00:07<00:00,  6.73it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.97e-04 | test loss: 3.15e-02 | reg: 2.90e+00 : 100%|██| 50/50 [00:07<00:00,  6.45it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.00e-03 | test loss: 1.65e+00 | reg: 3.05e+00 : 100%|██| 50/50 [00:07<00:00,  6.35it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=300\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.80e-03 | test loss: 6.71e-03 | reg: 2.88e+00 : 100%|██| 50/50 [00:06<00:00,  7.23it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.19e-04 | test loss: 3.15e-04 | reg: 2.89e+00 : 100%|██| 50/50 [00:06<00:00,  7.31it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.96e-05 | test loss: 2.34e-05 | reg: 2.89e+00 : 100%|██| 50/50 [00:07<00:00,  6.67it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.08e-06 | test loss: 5.00e-06 | reg: 2.89e+00 : 100%|██| 50/50 [00:11<00:00,  4.37it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.81e-07 | test loss: 3.41e-02 | reg: 2.89e+00 : 100%|██| 50/50 [00:17<00:00,  2.83it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=1000\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 6.45e-03 | test loss: 6.44e-03 | reg: 2.91e+00 : 100%|██| 50/50 [00:07<00:00,  6.72it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 4.14e-04 | test loss: 3.76e-04 | reg: 2.94e+00 : 100%|██| 50/50 [00:07<00:00,  6.54it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 4.94e-05 | test loss: 4.69e-05 | reg: 2.93e+00 : 100%|██| 50/50 [00:14<00:00,  3.44it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 5.21e-06 | test loss: 1.30e-05 | reg: 2.93e+00 : 100%|██| 50/50 [00:49<00:00,  1.01it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.12e-06 | test loss: 1.05e-05 | reg: 2.93e+00 : 100%|██| 50/50 [01:15<00:00,  1.51s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "data_size=3000\n",
      "grid_size=5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 6.12e-03 | test loss: 6.77e-03 | reg: 2.79e+00 : 100%|██| 50/50 [00:16<00:00,  2.99it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.98e-04 | test loss: 3.35e-04 | reg: 2.78e+00 : 100%|██| 50/50 [00:34<00:00,  1.44it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=20\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 1.72e-05 | test loss: 1.86e-05 | reg: 2.78e+00 : 100%|██| 50/50 [00:38<00:00,  1.31it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=50\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 3.97e-07 | test loss: 4.93e-07 | reg: 2.78e+00 : 100%|██| 50/50 [00:51<00:00,  1.03s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "grid_size=100\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "train loss: 2.61e-08 | test loss: 3.27e-08 | reg: 2.78e+00 : 100%|██| 50/50 [00:26<00:00,  1.85it/s]\n"
     ]
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "# initialize KAN with G=3\n",
    "model = KAN(width=[2,1,1], grid=3, k=3)\n",
    "\n",
    "data_sizes = np.array([100,300,1000,3000])\n",
    "grids = np.array([5,10,20,50,100])\n",
    "\n",
    "train_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n",
    "test_losses = np.zeros((data_sizes.shape[0], grids.shape[0]))\n",
    "steps = 50\n",
    "k = 3\n",
    "\n",
    "for j in range(data_sizes.shape[0]):\n",
    "    data_size = data_sizes[j]\n",
    "    print(f'data_size={data_size}')\n",
    "    # create dataset\n",
    "    f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n",
    "    dataset = create_dataset(f, n_var=2, train_num=data_size)\n",
    "    \n",
    "    for i in range(grids.shape[0]):\n",
    "        print(f'grid_size={grids[i]}')\n",
    "        if i == 0:\n",
    "            model = KAN(width=[2,1,1], grid=grids[i], k=k)\n",
    "        if i != 0:\n",
    "            model = KAN(width=[2,1,1], grid=grids[i], k=k).initialize_from_another_model(model, dataset['train_input'])\n",
    "        results = model.train(dataset, opt=\"LBFGS\", steps=steps, stop_grid_update_step = 30)\n",
    "        train_losses[j][i] = results['train_loss'][-1]\n",
    "        test_losses[j][i] = results['test_loss'][-1]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6be8ba55",
   "metadata": {},
   "source": [
    "### Fix data size, study model (grid) size scaling. Roughly display $N^{-4}$ scaling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e05289dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'grid size')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(data_sizes.shape[0]):\n",
    "    plt.plot(grids, train_losses[i,:], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('train RMSE')\n",
    "plt.xlabel('grid size')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6d15cc9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'grid size')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(data_sizes.shape[0]):\n",
    "    plt.plot(grids, test_losses[i,:], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([5,100]), 0.1*np.array([3,100])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'data={data_sizes[i]}' for i in range(data_sizes.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('test RMSE')\n",
    "plt.xlabel('grid size')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18bcedfe",
   "metadata": {},
   "source": [
    "### Fix model (grid) size, study data size scaling. No clear power law scaling. But we observe that: (1) increasing data size has no harm to performance. (2) powerful model (larger grid size) can benefit more from data size increase. Ideally one would want to increase data size and model size together so that their complexity always match."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0dd85c41",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'data size')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(grids.shape[0]):\n",
    "    plt.plot(data_sizes, train_losses[:,i], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([100,3000]), 1e8*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('train RMSE')\n",
    "plt.xlabel('data size')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "107801f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'data size')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(grids.shape[0]):\n",
    "    plt.plot(data_sizes, test_losses[:,i], marker=\"o\")\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.plot(np.array([100,3000]), 1e5*np.array([100,3000])**(-4.), ls=\"--\", color=\"black\")\n",
    "plt.legend([f'grid={grids[i]}' for i in range(grids.shape[0])]+[r'$N^{-4}$'])\n",
    "plt.ylabel('test RMSE')\n",
    "plt.xlabel('data size')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
